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d1i1m1o1n [39]
3 years ago
12

Juan’s game board is a square with sides that are 50 cm long. The area of the large circle is about 1,963.5 square cm.

Mathematics
2 answers:
Mashcka [7]3 years ago
8 0

Answer:

C) 0.785

Step-by-step explanation:

I am assuming that hitting the blue area will result in 0 points.

The area of said square is 50*50, which is 25<em>00 cm²</em>.

The chances of scoring >0 points is <em>the chance of hitting the circle</em>.

That is <em>1963.5/2500</em>.

Therefore, the chance is 0.7854, or 0.785.

Alex Ar [27]3 years ago
4 0

Answer:

Im trying to think in mt pee-wee brain about how to do this..

Step-by-step explanation:

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A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi
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Answer:

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

Step-by-step explanation:

Data given and notation

\bar X=3.4 represent the sample mean  

\sigma=0.4 represent the population deviation for the sample

n=50 sample size  

\mu_o =3.3 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

Compute the test statistic  

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

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We can replace in formula (1) the info given like this:  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

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